#abc274a. [abc274_a]Batting Average

[abc274_a]Batting Average

Problem Statement

Takahashi is making a computer baseball game.
He will write a program that shows a batter's batting average with a specified number of digits.

There are integers AA and BB, which satisfy 1leqAleq101 \\leq A \\leq 10 and 0leqBleqA0 \\leq B \\leq A.
Let SS be the string obtained as follows.

  • Round off dfracBA\\dfrac{B}{A} to three decimal digits, then write the integer part (11 digit), . (the decimal point), and the decimal part (33 digits) in this order, with trailing zeros.

For example, if A=7A=7 and B=4B=4, then dfracBA=dfrac47=0.571428dots\\dfrac{B}{A} = \\dfrac{4}{7} = 0.571428\\dots rounded off to three decimal digits is 0.5710.571. Thus, SS is 0.571.

You are given AA and BB as the input and asked to print SS.

Constraints

  • 1leqAleq101 \\leq A \\leq 10
  • 0leqBleqA0 \\leq B \\leq A
  • AA and BB are integers.

Input

The input is given from Standard Input in the following format:

AA BB

Output

Print SS in the format specified in the Problem Statement. Note that answers in different formats will be considered wrong.


Sample Input 1

7 4

Sample Output 1

0.571

As explained in the Problem Statement, dfracBA=dfrac47=0.571428dots\\dfrac{B}{A} = \\dfrac{4}{7} = 0.571428\\dots rounded off to three decimal digits is 0.5710.571. Thus, SS is 0.571.


Sample Input 2

7 3

Sample Output 2

0.429

dfracBA=dfrac37=0.428571dots\\dfrac{B}{A} = \\dfrac{3}{7} = 0.428571\\dots rounded off to three decimal digits is 0.4290.429. (Note that it got rounded up.)
Thus, SS is 0.429.


Sample Input 3

2 1

Sample Output 3

0.500

dfracBA=dfrac12=0.5\\dfrac{B}{A} = \\dfrac{1}{2} = 0.5 rounded off to three decimal digits is again 0.50.5.
Thus, SS is 0.500. Note that it must have three decimal places.


Sample Input 4

10 10

Sample Output 4

1.000

Sample Input 5

1 0

Sample Output 5

0.000